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Opial's Inequality on Time Scales and an Application

Tamara Vernee Gray

出版	Georgia Southern University, 2007
URL	http://books.google.com.hk/books?id=bUXdjwEACAAJ&hl=&source=gbs_api

註釋

Author's abstract: In view of the recently developed theory of calculus for dynamic equations on time scales (which unifies discrete and continuous systems), in this project we give some basic Opial type dynamic Inequalities. We discuss the background developed for Opial Inequalities which have many important applications both in the continuous and discrete cases in many areas of applicable analysis. Finally, having the above developed tools at our disposal, we give an example that concerns upper bound estimates of Dynamic Initial Value Problems and illustrate the usage of the developed Dynamic Opial Inequality.